- #1
Jolteon
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Homework Statement
Determine if the following sequence in convergent or divergent, and state the limit if it converges.
((4^n)/n)^(1/n) or "The nth root of '4 to the n' over 'n'"
Homework Equations
lim ___(n)^(1/n) = 1
n->inf
The Attempt at a Solution
I had this question on a quiz earlier, but wasn't too sure about my answer. As n approaches infinity, the exponent on the very outside approaches 0. So naturally I thought that anything to the 0 is 1. However, thinking back on it, I think the inside gets larger faster than the outside exponent gets smaller. Thanks for any help, I don't want to wait until Monday!